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Finding the Fourth Proportional to 842.88, 1,163.10 and 548.40

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Solution

The fourth proportional to 842.88, 1,163.10 and 548.40 is: 756.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.88 : 1,163.10 = 548.40 : x
  2. Step 2: Convert to fraction form
    842.88/1,163.10 = 548.40/x
  3. Step 3: Cross multiply
    842.88x = 1,163.10 × 548.40
  4. Step 4: Simplify right side
    842.88x = 637,844.04
  5. Step 5: Solve for x
    x = 637,844.04/842.88
  6. Step 6: Final answer
    x = 756.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.